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Erratum to “State-morphism MV-algebras” [Ann. Pure Appl. Logic 161 (2009) 161-173]
Authors:A. Di Nola  A. Dvure?enskij
Affiliation:
  • a Dipartimento di Matematica e Informatica, Università di Salerno, Via Ponte don Melillo, I-84084 Fisciano, Salerno, Italy
  • b Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia
  • c Dipartimento di Costruzioni e Metodi Matematici in Architettura, Università di Napoli Federico II, Via Monteoliveto 3, I-80134 Napoli, Italy
  • Abstract:Recently, the first two authors characterized in Di Nola and Dvure?enskij (2009) [1] subdirectly irreducible state-morphism MV-algebras. Unfortunately, the main theorem (Theorem 5.4(ii)) has a gap in the proof of Claim 10, as the example below shows. We now present a correct characterization and its correct proof.
    Keywords:06D35   03B50   03G12
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